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Finding the Fourth Proportional to 563.25, 778.91 and 537.47

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Solution

The fourth proportional to 563.25, 778.91 and 537.47 is: 743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.25 : 778.91 = 537.47 : x
  2. Step 2: Convert to fraction form
    563.25/778.91 = 537.47/x
  3. Step 3: Cross multiply
    563.25x = 778.91 × 537.47
  4. Step 4: Simplify right side
    563.25x = 418,634.18
  5. Step 5: Solve for x
    x = 418,634.18/563.25
  6. Step 6: Final answer
    x = 743.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.